Dynamic response of multilayer sandwich beams with foam-filled trapezoidal corrugated and foam cores under low-velocity impact

•Low-velocity impact of sandwich beams with multilayer sandwich beams is analytically and numerically studied.•Analytical solutions for low-velocity impact of multilayer sandwich beams are developed.•Analytical solution captures the numerical results reasonably.•Impact position, foam strength and face-sheet thickness have significant effects on the dynamic response.